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Finding the Fourth Proportional to 10,647.67, 14,679.46 and 7,456.67

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Solution

The fourth proportional to 10,647.67, 14,679.46 and 7,456.67 is: 10,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.67 : 14,679.46 = 7,456.67 : x
  2. Step 2: Convert to fraction form
    10,647.67/14,679.46 = 7,456.67/x
  3. Step 3: Cross multiply
    10,647.67x = 14,679.46 × 7,456.67
  4. Step 4: Simplify right side
    10,647.67x = 109,459,889.00
  5. Step 5: Solve for x
    x = 109,459,889.00/10,647.67
  6. Step 6: Final answer
    x = 10,280.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.